Income Taxes - Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Income Tax Disclosure [Abstract]
Income taxes at U.S. federal statutory rate	$ 8,803	$ 15,253	$ (16,678)
State income taxes, net of federal tax effect	817	(87)	(2,033)
Non-deductible business expenses	237	330	1,792
Non-deductible employee compensation	1,678	1,213	(210)
Tax effects of Company-owned life insurance	612	(762)	(898)
Tax effects of undistributed earnings from foreign subsidiaries not deemed to be indefinitely reinvested	1,123	1,219	748
Foreign and U.S. tax effects attributable to foreign operations	3,528	1,748	(11,991)
Valuation allowance effect	2,898	1,349	12,927
Research and development tax credits	(917)	(793)	(780)
Goodwill impairment	6,171	0	24,464
Unrecognized tax benefits	(2,463)	(2,663)	(14,962)
Other	(130)	592	130
Total income tax expense (benefit)	$ 22,357	$ 17,399	$ (7,491)